Sliding window clicked pretty fast for me since the array is all positive integers, which means shrinking from the left always makes sense.
Use a sliding window (two pointers) to maintain a window of elements whose sum is at least the target. Expand the right pointer to increase the sum, and once the sum meets or exceeds the target, shrink the window from the left to find the minimum length. Track the minimum length throughout and return it, or 0 if no valid window exists.
Pro tip: Clarify that the array contains only positive integers, which is crucial for the sliding window to work because it ensures the sum is monotonic as the window expands or shrinks. Also, mention that you'll handle edge cases like empty array or target larger than total sum.
Restate the problem: find the minimum length of a contiguous subarray with sum >= target. Note that the array has positive integers, which allows the sliding window technique. Confirm expected time and space complexity.
Set left pointer to 0, current sum to 0, and min length to infinity (or a large number). Iterate with a right pointer from 0 to n-1.
Add the element at right to current sum. While current sum >= target, update min length with the current window size, then subtract the element at left from current sum and increment left.
After the loop, if min length is still infinity, return 0; otherwise return min length.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.
Classic BFS with a queue, nothing surprising in the implementation.
Start by clarifying the problem and edge cases, then describe the BFS approach using a queue and level-size tracking. Walk through a small example to illustrate, then implement the code iteratively, and finally analyze time and space complexity.
Pro tip: Mention that level-order traversal is the foundation for many tree problems (e.g., right-side view, zigzag traversal) and that BFS is preferred over DFS for level-based processing due to its natural level separation.
Confirm input/output format, discuss edge cases like empty tree, single node, and skewed tree. Ask if the tree is balanced or if there are constraints on node values.
Explain using a queue to process nodes level by level. At each iteration, record the current level size to process exactly that many nodes, collecting their values and enqueuing their children.
Trace the algorithm on a small binary tree (e.g., root with left and right children) to demonstrate how levels are formed and how the queue evolves.
Write clean, iterative code using a queue (e.g., collections.deque in Python). Ensure proper handling of null nodes and initialization of the result list.
State that time complexity is O(N) since each node is visited once, and space complexity is O(M), where M is the maximum number of nodes at any level (worst-case O(N) for a full level).
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.